DAC operation

I read in Wiki and in other resources about a DAC which its output operates as a PWM and enters into a low pass filter, and the desired analog voltage is the LPF's output.

I dont understand how this work.

In the booklet I read, it is said that the analog voltage is:


I assume that vin(t) is the PWM's output signal.

Could anyone please help me understand how this DAC works?

Thanks.

It's pretty basic, what don't you understand?

I dont understand how do you get a desired Vout in the LPF's output.
Perhaps you could give an example?

You'd have to define the specs you need in vout. There is no example to give because you haven't filled in any of the required parameters.
Mathematical equations don't fill themselves in.

A good way to start might to be to find the values of common RC filters for 22khz and start from there.